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Finding the Fourth Proportional to 229,970.90, 344,972.55 and 130,178.90

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Solution

The fourth proportional to 229,970.90, 344,972.55 and 130,178.90 is: 195,277.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,970.90 : 344,972.55 = 130,178.90 : x
  2. Step 2: Convert to fraction form
    229,970.90/344,972.55 = 130,178.90/x
  3. Step 3: Cross multiply
    229,970.90x = 344,972.55 × 130,178.90
  4. Step 4: Simplify right side
    229,970.90x = 44,908,147,089.20
  5. Step 5: Solve for x
    x = 44,908,147,089.20/229,970.90
  6. Step 6: Final answer
    x = 195,277.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.